Convex Hulls of Orbits and Orientations of a Moving Protein Domain

Details Convex Hulls of Orbits and Orientations of a Moving Protein Domain Convex Hulls of Orbits and Orientations of a Moving Protein Domain

2007-12-21

arxiv.org/abs/0712.3777v2

Mathematics

Metric Geometry

21 pages. Some mild revisions

Scientific paper

We study the facial structure and Carath\'eodory number of the convex hull of
an orbit of the group of rotations in R^3 acting on the space of pairs of
anisotropic symmetric 3\times 3 tensors. This is motivated by the problem of
determining the structure of some proteins in aqueous solution.

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